Day 204: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

Question 1
Statistics. Asked once: NDA 2 2017 (same type asked 3 times)
118 $Consider the following statements: 1. Variance is unaffected by change of origin and change of scale. 2. Coefficient of variance is independent of the unit of observations. Which of the statements given above is/are correct?$
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Question 2
Conics. Asked once: NDA 1 2017 (same type asked 3 times)
57 $(\pm 2, 0)$
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Question 3 (case study, 2 parts)
Conics. Asked once: NDA 2 2023 (same type asked 2 times)
A parabola passes through $(1,2)$ and satisfies $\frac{dy}{dx}=\frac{2y}{x},\ x>0,y>0$ .
51 $What is the directrix of the parabola?$
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52 $What is the length of latus rectum of the parabola?$
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Question 4
Matrices & Determinants. Asked once: NDA 2 2018 (same type asked 2 times)
18 $(AB)^{-1}$
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Question 5
Probability. Asked once: NDA 2 2019 (same type asked 2 times)
19 $In a school, 50% students play cricket and 40% play football. If 10% of students play both the games, then what per cent of students play neither cricket nor football ?$
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Question 1